|
|||||
|
|
| 用Jacobi椭圆函数求非线性方程的解析解 | |
| 引用本文： | 翁建平. 用Jacobi椭圆函数求非线性方程的解析解[J]. 安徽大学学报(自然科学版), 2005, 29(5): 36-39 |
| 作者姓名： | 翁建平 |
| 作者单位： | 丽水学院,物理系,浙江,丽水,323000 |
| 基金项目： | 感谢楼森岳教授的指导和讨论. |
| 摘 要： | Jacob i椭圆函数展开法被应用于Kaup-Kupershm idt方程和推广的Kaup-Kupersh-m idt方程。在计算过程中,使用了非线性方程的非线性项和最高导数项平衡思想,这导致了简单代数方程组的产生。求解该代数方程组,若干解析周期精确解被得到,其中包括一些孤波解和双曲函数解。 |
| 关 键 词： | Jacobi椭圆函数 吴消元法 精确解 |
| 文章编号： | 1000-2162（2005）05-0036-04 |
| 收稿时间： | 2004-07-16 |
| 修稿时间： | 2004-07-16 |
On the analytical solutions of nonlinear equation by the elliptic function expansion method |
|
| WENG Jian-ping. On the analytical solutions of nonlinear equation by the elliptic function expansion method[J]. Journal of Anhui University(Natural Sciences), 2005, 29(5): 36-39 | |
| Authors: | WENG Jian-ping |
| Abstract: | Elliptic function expansion method is applied to the Kaup - Kupershmidt equation and the extended Kaup - Kupershmidt equation. Using the idea of balance between the nonlinear term and the derivative term which have the highest order for these nonlinear equation, give rise to a set of simply algebraic equations separately, and some new analytical periodic solutions, including some solitary wave solutions and some hyperbolic solutions, are obtained by solving these algebraic equations. |
| Keywords: | Jacobi elliptic function expansion method Wu -elimination method exact solutions |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |